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Simplifying (2m + -5)(2m + -5) = 0 Reorder the terms: (-5 + 2m)(2m + -5) = 0 Reorder the terms: (-5 + 2m)(-5 + 2m) = 0 Multiply (-5 + 2m) * (-5 + 2m) (-5(-5 + 2m) + 2m * (-5 + 2m)) = 0 ((-5 * -5 + 2m * -5) + 2m * (-5 + 2m)) = 0 ((25 + -10m) + 2m * (-5 + 2m)) = 0 (25 + -10m + (-5 * 2m + 2m * 2m)) = 0 (25 + -10m + (-10m + 4m2)) = 0 Combine like terms: -10m + -10m = -20m (25 + -20m + 4m2) = 0 Solving 25 + -20m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (5 + -2m)(5 + -2m) = 0Subproblem 1
Set the factor '(5 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5Subproblem 2
Set the factor '(5 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5Solution
m = {2.5, 2.5}
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